New Answer (October 10, 2012): USA Network has announced that the seventh season of Psych will premiere on February 27, 2012!
Old Answer (September 29, 2012): There's still no official premiere date for the seventh season of Psych. USA Network had previously announced that the season will premiere sometime in the "fall" of 2012, but there's unofficial talk that the new season is going to be delayed until the winter of 2012/2013.
Old Answer (August 15, 2012): There's currently no official premiere date for the seventh season of Psych, but all evidence points to a October 10, 2012 premiere. Here's why:
Seasons 5 and 6 premiered on the second Wednesday of the month.
Season 6 premiered on October 12, 2012
Season 7 is set to premiere sometime in the "fall" of 2012.
Notes: If you're looking to catch up on the sixth season of Psych, you can pre-order the DVD set or instantly download/stream that season on Amazon.com.